Journal of Mathematics / 2020 / Article / Tab 1

Research Article

New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization

Table 1

Comparisons of new algorithm against (LS) & (CD) algorithms for the total of (60) test problems with (1000 n 10000, and the increasing size in n is equal to 1000) with (c = 0.1 and 0.001).

Prob.New algorithm (C = 0.1) NOI/NOFG/TIMENew algorithm (C = 0.001) NOI/NOFG/TIMELS
NOI/NOFG/TIME
CD
NOI/NOFG/TIME

199/252/0.14101/263/0.14323/7045/2.31414/9608/2.64
2408/884/2.02405/880/1.97412/888/1.98395/878/2.08
3853/2183/1.06830/2171/0.98823/2159/1.02824/2154/0.97
4123/308/0.14123/308/0.15114/300/0.17121/314/0.15
5100/388/0.15100/388/0.20274/5586/1.14167/1918/0.77
6585/995/1.56585/995/1.546576/19689/4.546848/20496/5.70
730/80/0.1530/80/0.1340/100/0.2140/100/0.16
81032/2705/1.581020/2668/1.421033/2768/1.491026/2972/1.52
92388/4881/2.402503/5048/3.063520/7182/7.493676/7485/8.83
10477/871/2.66478/858/2.6218795/503441/7.6019346/518146/9.14
11182/423/1.03174/418/1.098669/270951/5.838252/257171/6.83
12113/302/0.16113/302/0.20318/3881/1.69279/2792/5.80
1380/226/0.1178/222/0.0873/241/0.1073/241/0.09
1461/131/0.5061/131/0.56124/2140/7.12160/2833/3.54
15460/991/0.62452/969/0.59456/953/0.61467/997/0.64
1666/132/0.0366/132/0.0467/134/0.1468/136/0.06
1770/160/0.1170/160/0.0669/158/0.1071/162/0.08
18753/1577/0.79791/1668/0.85691/1477/0.74782/1687/0.82
1974/158/0.3374/158/0.42123/1905/2.3170/150/0.30
20110/349/0.41109/349/0.37114/334/0.43111/329/0.41
21806/3224/1.60600/1665/1.26429/1895/4.93561/5284/5.69
2272/275/0.5172/285/0.4984/366/0.702084/2322/9.54
234470/9572/1.335033/10748/2.4220010/168275/4.9519334/128670/5.02
2462/201/0.4262/201/0.40546/15413/3.73495/13595/3.48
25459/1091/0.60521/1192/0.78494/1101/0.65531/1154/0.76
2656/153/0.0865/373/0.1356/155/0.0666/328/0.12
2785/203/0.1185/203/0.1280/190/0.0780/190/0.09
28534/1139/0.65514/1073/0.68493/1055/0.63492/1075/0.61
29540/1274/0.62537/1267/0.58941/2237/1.03943/2239/1.11
30576/1440/0.96591/1504/1.0519026/581537/2.5718144/543276/2.03
31113/236/0.16113/236/0.11118/245/0.11123/253/0.11
32813/2181/3.28735/1997/3.0318140/560188/8.6718320/564064/8.04
3398/268/0.1898/268/0.17359/5355/2.21387/6200/3.06
34346/766/0.48348/766/0.50356/786/0.44332/732/0.44
357635/12820/8.597554/12715/8.737463/12576/8.297183/12051/8.37
36280/978/0.43280/978/0.35264/935/0.45273/978/0.39
37217/534/0.31217/534/0.27221/551/0.31219/546/0.31
38121/287/0.14120/285/0.13814/20969/8.83786/20117/7.46
39150/329/0.64153/328/0.65141/305/0.59137/297/0.58
40107/217/0.65107/217/0.68144/1165/3.67124/476/1.35
41120/330/0.23120/330/0.25100/290/0.17100/290/0.18
423832/9998/2.513373/8928/7.183404/9046/8.473182/8618/7.82
4340/80/0.1140/80/0.0840/80/0.1240/80/0.12
4450/110/0.1050/110/0.0550/110/0.0950/110/0.05
4543/184/0.0843/184/0.113903/129109/7.107265/242193/4.78
46427/1323/2.56427/1320/2.60413/1307/2.53428/1252/2.44
4764/249/0.0964/249/0.06118/447/0.22114/425/0.19
48308/798/1.39293/772/1.28773/7349/0.721731/23050/5.88
4922/89/0.1122/89/0.13316/8561/9.47298/8022/8.33
5020/50/0.0320/50/0.0220/50/0.0020/50/0.04
5192/1755/2.2542/136/0.17361/9646/9.02315/8202/8.61
52107/418/0.16107/418/0.15107/418/0.16107/418/0.16
536199/52426/6.756199/52426/6.788071/53291/6.208071/53291/9.30
5451/151/0.2051/151/0.1951/151/0.2151/151/0.18
5560/140/0.1960/140/0.1960/140/0.1860/140/0.20
5670/140/0.2070/140/0.1770/140/0.1970/140/0.16
5779/158/0.2279/158/0.2279/158/0.2474/148/0.22
58143/570/0.25143/570/0.25143/570/0.23143/570/0.21
59188/498/0.29172/453/0.27176/449/0.27177/461/0.22
6083/236/0.1383/236/0.11985/27409/9.27917/25010/8.38
Total37602/124886/55.5437426/121643/59.2131933/2455353/154.98136949/1242169/166.56

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